Application of Baumgarte Constraint Stabilization to Inverse Dynamical Problem

Dynamical systems are often being described with the help of the ordinary differential equations. But only a few problems can be solved analytically. Basically, the quantity theory of ordinary differential equations or numerical methods are used to analyze the properties of the solution. But most of the difference schemes can lead to the numerical instability with the regard for the constraints. To avoid the accumulation of errors, J. Baumgarte suggested to use the method of constraint stabilization. In this paper, the methods of solving inverse dynamical problems with regard for constraint stabilization are investigated.